Gluon Digitization via Character Expansion for Quantum Computers

Abstract

Efficient digitization is required for quantum simulations of gauge theories. Schemes based on discrete subgroups use a smaller, fixed number of qubits at the cost of systematic errors. We systematize this approach by deriving the single plaquette action through matching the continuous group action to that of a discrete one via group character expansions modulo the field fluctuation contributions. We accompany this scheme by simulations of pure gauge over the largest discrete crystal-like subgroup of $SU(3)$ up to the fifth-order in the coupling constant.

6 pages, 1 figure

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Cited by in corpus (6)

• Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma (36\times 3)$
• Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
• Gauge Theory Couplings on Anisotropic Lattices
• Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: I. Hilbert space of a trivalent vertex
• Estimating truncation effects of quantum bosonic systems using sampling algorithms
• Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$